56906 has 8 divisors (see below), whose sum is σ = 87780. Its totient is φ = 27648.

The previous prime is 56897. The next prime is 56909. The reversal of 56906 is 60965.

It can be written as a sum of positive squares in 2 ways, for example, as 55225 + 1681 = 235^2 + 41^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (56909) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 311 + ... + 458.

2⁵⁶⁹⁰⁶ is an apocalyptic number.

56906 is a deficient number, since it is larger than the sum of its proper divisors (30874).

56906 is a wasteful number, since it uses less digits than its factorization.

56906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 56906 is about 238.5497851602. The cubic root of 56906 is about 38.4638441695.

The spelling of 56906 in words is "fifty-six thousand, nine hundred six".